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  • Book
  • © 2009

Turbulence Nature and the Inverse Problem

Authors:

  • Origin of primary perturbation in turbulent flows. Nature
  • Two mechanisms of turbulence
  • Technique for computing spacio-temporal field of turbulent flow parameter oscillations
  • Technique for numerical study of randomization process of oscillating parameters
  • Step-by-step explanation of slow combustion transition into detonation
  • The turbulence inverse problem definition and solution technique

Part of the book series: Fluid Mechanics and Its Applications (FMIA, volume 89)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xvi
  2. The turbulence problem

    • L. N. Pyatnitsky
    Pages 1-15
  3. Fluid motion

    • L. N. Pyatnitsky
    Pages 17-27
  4. Distribution of parameters in viscous flow

    • L. N. Pyatnitsky
    Pages 29-42
  5. Perturbations in viscous flow

    • L. N. Pyatnitsky
    Pages 43-53
  6. Perturbation in channels

    • L. N. Pyatnitsky
    Pages 55-71
  7. Evolution of velocity oscillation field

    • L. N. Pyatnitsky
    Pages 85-102
  8. Transition from normal combustion to detonation

    • L. N. Pyatnitsky
    Pages 125-154
  9. An inverse problem of turbulence

    • L. N. Pyatnitsky
    Pages 155-180
  10. Back Matter

    Pages 181-197

About this book

Hydrodynamic equations well describe averaged parameters of turbulent steady flows, at least in pipes where boundary conditions can be estimated. The equations might outline the parameters fluctuations as well, if entry conditions at current boundaries were known. This raises, in addition, the more comprehensive problem of the primary perturbation nature, noted by H.A. Lorentz, which still remains unsolved. Generally, any flow steadiness should be supported by pressure waves emitted by some external source, e.g. a piston or a receiver. The wave plane front in channels quickly takes convex configuration owing to Rayleigh's law of diffraction divergence. The Schlieren technique and pressure wave registration were employed to investigate the wave interaction with boundary layer, while reflecting from the channel wall. The reflection induces boundary-layer local separation and following pressure rapid increase within the perturbation zone. It propagates as an acoustic wave packet of spherical shape, bearing oscillations of hydrodynamic parameters. Superposition of such packets forms a spatio-temporal field of oscillations fading as 1/r. This implies a mechanism of the turbulence. Vorticity existing in the boundary layer does not penetrate in itself into potential main stream. But the wave leaving the boundary layer carries away some part of fluid along with frozen-in vorticity. The vorticity eddies form another field of oscillations fading as 1/r2. This implies a second mechanism of turbulence. Thereupon the oscillation spatio-temporal field and its randomization development are easy computed. Also, normal burning transition into detonation is explained, and the turbulence inverse problem is set and solved as applied to plasma channels created by laser Besselian beams.

Reviews

From the reviews:

“This is an interesting book, whose focus is on the nature of turbulent fluctuations. … This book will be particularly intriguing to specialists in the field and also to scientists who are interested in the many aspects of scientific debate.” (Barbara Vanda Villone, Mathematical Reviews, Issue 2012 e)

Authors and Affiliations

  • Inst. Physicotechnical Problems in Power Engineering, Russian Academy of Sciences (RAS), Moskva, Russian Federation

    L. N. Pyatnitsky

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access